104281261056000 has 5376 divisors, whose sum is σ = 492980480778240. Its totient is φ = 21441753907200.

The previous prime is 104281261055989. The next prime is 104281261056041. The reversal of 104281261056000 is 650162182401.

It is a happy number.

104281261056000 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 81 + 2 + 6 + 10 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 761177087932 + ... + 761177088068.

It is an arithmetic number, because the mean of its divisors is an integer number (91700238240).

Almost surely, 2^{104281261056000} is an apocalyptic number.

104281261056000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104281261056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246490240389120).

104281261056000 is an abundant number, since it is smaller than the sum of its proper divisors (388699219722240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104281261056000 is an equidigital number, since it uses as much as digits as its factorization.

104281261056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 104281261056000 in words is "one hundred four trillion, two hundred eighty-one billion, two hundred sixty-one million, fifty-six thousand".